Findings

This page collects what JETCARP’s searches have found and what the checks of November 2026 made of it. It is the data behind the claims on What is new in JETCARP: every result was run again on the release engine (JETCARP 0.4.0), every spaceship was compared with the ships of simpler tilings, and the list was cut down wherever a check failed. A census of Life itself on the Archimedean, 2-uniform and 3-uniform tilings went through the same checks; its results are in their own section. The ConwayLife.com forums have not been searched yet, so a candidate here is a candidate, not a discovery; we will ask the community when the results are posted there. Corrections are welcome as issues.

Re-verification on the release engine

The finds were made with JETCARP’s predecessor, CART. Before anything was claimed, the records were run again on JETCARP 0.4.0:

Records	Checked	Passed
Spaceships	103	103
Long-period oscillators (the 40 longest per tiling family)	739	739
Turmite highways on non-square tilings	39,744	39,744

Spaceships and oscillators were checked twice: by jetcarp library verify --all, and by pasting each record alone on a fresh wrapped patch and letting JETCARP’s object finder name it again after 200 generations. No period, displacement or speed changed. Every highway gave the same onset, period, cells and speed with its stored limits.

Isohedral tilings are eleven neighbour graphs

A rule that only counts neighbours sees the neighbour graph, not the shapes (see Tilings as neighbour graphs). Every isohedral tiling is combinatorially one of the eleven Laves tilings, the duals of the uniform tilings, whatever the shape of its tile, so JETCARP’s 81 isohedral types give rules only eleven different worlds in each neighbourhood. A survey of all 362 tiling and neighbourhood pairs (19 families, the 81 isohedral types and the 81 catalogued 2- and 3-uniform tilings, with touching and with edge neighbours) found:

Laves tiling	Isohedral types in JETCARP	Neighbour graph is that of
[3⁶], hexagon-like	IH01–IH18, IH20 (19 types)	the hexagonal grid
[4⁴], square-like	30 types from IH41 to IH76	the square grid
[6³], triangle-like	IH83–IH86, IH88, IH90, IH91, IH93 (8)	the triangular grid
[3².4.3.4], Cairo pentagonal	IH27–IH29 (3)	the Cairo tiling
[3³.4²], prismatic pentagonal	IH22–IH26 (5)	itself
[3⁴.6], floret pentagonal	IH21	itself
[3.6.3.6], rhombille	IH33, IH34, IH36, IH37 (4)	itself
[3.4.6.4], deltoidal trihexagonal	IH30–IH32 (3)	itself
[3.12²], triakis triangular	IH38–IH40 (3)	itself
[4.8²], tetrakis square	IH78, IH79, IH81, IH82 (4)	itself
[4.6.12], kisrhombille	IH77	itself

Several drawn families are also lattices in disguise: the brick, herringbone and three-fold (lizard) tilings behave exactly as hexagons, the quadrilateral, glide and four-fold tilings as squares, and the Pythagorean tiling as 4.8.8. No 2- or 3-uniform tiling has the graph of a lattice, of Cairo or of an Archimedean tiling. The isohedral tilings page therefore presents results on an isohedral type as results on its Laves tiling.

The survey also explains an early false alarm. JETCARP’s catalogue held “spaceships” on IH46, IH54, IH62, IH72 and IH84; mapped back onto their lattices they are Conway’s glider, the lightweight and middleweight spaceships, and an unnamed ship of the triangular grid. Every ship found on an isohedral type is a known lattice object, and none is claimed.

Spaceships

How the list was cut

Of the 103 spaceship records, 35 were known objects of the square and triangular grids (every ship on an isohedral type among them) and 5 were H. S. Guttesen’s kagome glider, alone, in pairs or in corridors of kagome tiles. Fresh soup searches in November 2026 re-found Guttesen’s snub-square glider and added 16 objects. That left 72 candidates, which a second, deliberately skeptical pass and then a looser congruence test examined:

Step	Result
Candidates examined	72
Compounds: two smaller ships flying side by side without influencing each other	10, removed
The same object as another record, with every neighbour count the same	none
The same live tiles at every generation as another candidate (congruence test)	2 pairs, merged
Re-attributed to a simpler tiling by the strict map (7 from 3-uniform to 2-uniform tilings, 1 from k3-032 to 3.6.3.6)	8
Re-attributed to a simpler tiling by the congruence test (5 to 3.3.3.4.4, 3 from 3-uniform to 2-uniform tilings)	8
Objects that run on more than one tiling	19
Distinct surviving objects	60
of which single ships (6 of them contain a perturbed phase of a smaller ship)	47
of which derivative: a smaller ship with a passenger that it pulls along unchanged, or a bound pair of gliders	13
Flag A: most likely already known or noticed by others	11
Flag B: check before claiming	17
Unflagged	32, of which 25 are single ships

The checks are described in the box on What is new in JETCARP. No ship depended on dead edges or on the size of the patch, no period or displacement was misreported, and no candidate is a ship of a lattice, of Cairo or of any Laves tiling.

The skeptical pass called two ships the same object only if a map between them kept every neighbour count, of the live tiles and of the empty tiles around them. The congruence test is looser: two ships are one object if, after a shift of phase, one rotation, reflection and translation carries the live tiles of one onto the live tiles of the other at every generation of a period, whatever the neighbour counts of the empty tiles around them. It merged two pairs:

d8692b4b and 388daffd are one 7-cell ship. On k2-003 and k3-016 the squares at the edge of its strip of squares and triangles border another row of squares and touch 10 tiles; on k3-013 and k3-019 they border a row of triangles and touch 12. The live tiles never notice: every birth and survival condition is the same, and the range only looks 16 times larger on k3-013 because counts of 11 and 12, which the ship never meets, exist only there.
1a403313 and cf8efa2e are one 4-to-5-cell ship, recorded twice on the same tiling k3-019, at two positions that no symmetry of the tiling exchanges: one translation, with a shift of two generations, carries one onto the other, but the rows beyond its strip are squares on one side and triangles on the other, and swapped at the second position. Their ranges are equal.

The same test, run against every Archimedean, 2-uniform, 3-uniform and isohedral tiling (an isometric copy of each ship’s live tiles is placed on the tiling, and JETCARP runs it in a rule that the counts there allow), found that eight ships run, with the same live tiles, on a simpler tiling than the one they were claimed on: d8692b4b, b86608f6, d36fd2c3, 9f3f8ff8 and 1a403313, found in strips of squares and triangles inside 2- and 3-uniform tilings, run on the Archimedean elongated triangular tiling 3.3.3.4.4; 9c87573c (from k3-003) runs on k2-012; and b79fe209 and b3726ba1 (from k3-015 and k3-021) run on k2-015. They are listed on the simpler tiling, and so, by the same rules as the others, d8692b4b and 1a403313 are now flagged: small, common in their searches and wide-range on an Archimedean tiling.

Flag A marks ships that are small, turn up often in soups and run in many rules on an Archimedean tiling (78d55497, bde55795, 30594bf3, 3aaf02c0, 781cc2ef, 1df4b31f, d8692b4b, 1a403313), and the ships built on Guttesen’s gliders (c696c65e, a5e9ba80 in Life on 3.3.4.3.4, and e08df0a8). Others may well have seen these; we found no report, and do not write “to our knowledge” for them. Flag B marks ships that run in a well-known rule on an Archimedean tiling (HighLife, Pedestrian Life, or the B2/S34 rule of the 4.8.8 hunts, which is Hexagonal Life without its H), that contain a phase of one of Guttesen’s gliders, or that were very common in their search. Four more joined Flag B after a second search of the ConwayLife forums found EricG’s 2013 exploration of the Archimedean tilings (EricG 2013): 7f22824b and 504fdf46 run in B2/S2 on 4.8.8, where EricG found “many of the B2 rules” to have spaceships, and 95528302 and 18746b1c run in B26 rules on 3.12.12, next to the B2/S2 and B26/S3569 rules in which EricG reported many ships. EricG did not list the ships, and the pattern files are no longer online, so these four wait for a comparison with them. The claimed ships on 3.4.6.4, 3.3.3.4.4 and 3.3.3.3.6 run in none of the rules EricG named (see What is new in JETCARP).

Life itself (B3/S23), the rule Guttesen searched, deserves a separate word. All eleven of these candidates that run in Life turned out to be made of Guttesen’s gliders: on 3.6.3.6 every one is a pair of glider g, so no new single Life ship on the kagome tiling survives; on 3.3.4.3.4 one is a pair of the snub-square glider, one is a bound pair of it (c696c65e, period 16) and one contains a perturbed copy of it (a5e9ba80, period 24). But the searches behind these candidates ran Life on only a few tilings, so they say little about Life elsewhere. A later census of Life on all 92 Archimedean, 2-uniform and 3-uniform tilings found Life spaceships on 28 of them, 24 of those 2- or 3-uniform; see Life on the Archimedean and k-uniform tilings.

The 60 objects

Sorted by the simplest tiling each one runs on: Archimedean, then 2-uniform, then 3-uniform. Runs on lists every tiling where the ship was catalogued or where JETCARP confirmed it as one ship whose live tiles evolve exactly as the catalogued ship’s: either a map that keeps all neighbour counts carries it there, or an isometric copy of it runs in some rule while the empty tiles around it have other neighbour counts. Merged objects give the second id in brackets. d per period is the displacement in lattice steps, in the lattice basis of the patch it was catalogued on; on the tilings with a hexagonal lattice the two basis vectors are 60° apart, so (1, −1) is as short a step as (1, 0), and direction words such as “diagonal” would mislead. Smallest rule is the rule with the fewest birth and survival conditions in which the ship runs; it runs identically in every rule between that one and the largest, and the count says how many that is; where two counts are given, the count depends on the tiling (each card lists them), because a tiling with more neighbours per tile leaves more counts that the ship never meets free. Seen is how often the search met it, which depends on how long that search ran. Each id links to the object’s card in the gallery below, with a clip of it moving.

	id	runs on (simplest first)	p	d per period	cells	smallest rule (rules in range)	seen	kind	flag
1	`9d091ca3`	4.8.8	2	(0, 1)	5–9	`B2/S3` (512)	270	single	B
2	`ca2f31b0`	4.8.8	2	(0, −1)	14–16	`B2/S2` (256)	8	derivative: `78d55497` with a tag-along
3	`78d55497`	4.8.8	2	(0, −1)	5	`B2/S2` (512)	8,034	single	A
4	`2f5d3182`	4.8.8	4	(−2, 0)	9–10	`B2/S2` (256)	32	derivative: `bde55795` with a tag-along
5	`298db0cf`	4.8.8	4	(0, −2)	9–14	`B2/S2` (64)	5	derivative: `78d55497` with a tag-along
6	`984c5dd5`	4.8.8	4	(0, −2)	7–10	`B2/S2` (256)	92	derivative: `78d55497` with a tag-along
7	`87759c78`	4.8.8	4	(0, −2)	14–17	`B2/S2` (256)	2	derivative: `78d55497` with a tag-along
8	`feae0172`	4.8.8	4	(0, −2)	10–15	`B2/S3` (64)	54	derivative: `9d091ca3` with a tag-along	B
9	`bde55795`	4.8.8	4	(0, −2)	5–6	`B2/S2` (256)	406	single	A
10	`c45a97a1`	4.8.8	4	(0, −2)	8–9	`B2/S2` (256)	3	derivative: `7f22824b` with a tag-along
11	`7f22824b`	4.8.8	4	(0, −2)	7	`B2/S2` (512)	9	single, contains a phase of `78d55497`, `bde55795`	B
12	`504fdf46`	4.8.8	6	(0, 2)	7–13	`B2/S2` (128)	11	single	B
13	`908dc7a0`	4.8.8	12	(6, 0)	12–18	`B2/S34` (64)	2	derivative: `9d091ca3` with a tag-along	B
14	`87dfbfaf`	4.8.8	16	(0, 8)	19–26	`B2/S34` (16)	1	derivative: `9d091ca3` with a tag-along	B
15	`71f3b4b3`	4.8.8	16	(0, 8)	14–20	`B2/S34` (32)	95	derivative: `9d091ca3` with a tag-along	B
16	`76897484`	4.8.8	16	(0, 8)	14–28	`B2/S34` (32)	271	single	B
17	`a333894b`	4.8.8	24	(12, 0)	14–21	`B2/S3` (128)	1	single	B
18	`95528302`	3.12.12	2	(0, −1)	6–9	`B26/S2` (32,768)	39	single, contains a phase of `30594bf3`	B
19	`18746b1c`	3.12.12	2	(0, −1)	7–9	`B26/S2` (16,384)	6	single, contains a phase of `95528302`, `30594bf3`	B
20	`30594bf3`	3.12.12	2	(0, 1)	4–5	`B2/S2` (65,536)	1,742	single	A
21	`3aaf02c0`	3.12.12	6	(−2, 4)	5–8	`B2/S2` (32,768)	1,585	single	A
22	`25ba593a`	3.12.12	8	(4, 0)	12–23	`B26/S26` (1,024)	1	derivative: `95528302` with a tag-along
23	`781cc2ef`	4.6.12	4	(0, 1)	5–6	`B2/S2` (65,536)	373	single	A
24	`57a0326c`	3.4.6.4	42	(0, 3)	7–15	`B3/S235` (1,024)	61	single
25	`d8692b4b` (= `388daffd`)	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	4	(−1, 0)	7	`B45/S34` (256 to 4,096)	447	single	A
26	`b86608f6`	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	4	(−1, 0)	12–16	`B456/S347` (256 to 4,096)	7	single
27	`1a403313` (= `cf8efa2e`)	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	5	(−1, 0)	4–5	`B3/S2` (8,192 to 131,072)	406	single	A
28	`3e30b9ff`	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	8	(2, 0)	13–17	`B46/S3458` (64 to 1,024)	2	single
29	`d36fd2c3`	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	18	(−1, 0)	10–14	`B4567/S3478` (32 to 512)	45	single
30	`9f3f8ff8`	3.3.3.4.4, k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051, k3-052	26	(1, 0)	17–26	`B45679/S3478` (16 to 256)	1	single
31	`d3cd3951`	3.3.3.3.6	27	(−1, 1)	4–18	`B37/S2,5,6,10` (1,048,576)	30	single
32	`c696c65e`	3.3.4.3.4	16	(0, −4)	15–33	`B3/S23` (256)	1	derivative: a bound pair of Guttesen’s snub-square glider	A
33	`a5e9ba80`	3.3.4.3.4	24	(0, 6)	17–50	`B3/S23` (128)	1	single, contains a phase of Guttesen’s snub-square glider	A
34	`8f790b16`	3.6.3.6, k3-030, k3-032, k3-039	4	(−1, 0)	8–9	`B36/S23` (8,192)	423	single, contains a phase of Guttesen’s g	B
35	`1df4b31f`	3.6.3.6, k3-030, k3-032, k3-039	4	(−1, 0)	7–8	`B3/S345` (16,384)	1,347	single	A
36	`e08df0a8`	3.6.3.6	4	(−1, 0)	10–13	`B36/S23` (4,096)	2	derivative: Guttesen’s g with a tag-along	A
37	`48e9e267`	3.6.3.6	12	(0, 3)	5–12	`B38/S23` (2,048)	595	single, contains a phase of Guttesen’s g	B
38	`2e4467c0`	k2-004, k2-003, k3-010, k3-013, k3-016, k3-019	3	(−1, 0)	4–6	`B3/S35` (2,048 to 32,768)	19	single
39	`6469dbc4`	k2-004, k2-003, k3-010, k3-016	5	(−1, 0)	5–9	`B3/S356` (512)	4	single
40	`e71e1136`	k2-006, k3-028, k3-029, k3-030	10	(1, 0)	4–9	`B36/S23` (4,096)	43	single	B
41	`9bebe7ea`	k2-006, k3-028	16	(1, 0)	8–11	`B3/S1346` (2,048)	13	single
42	`3fcb35b1`	k2-006	46	(−1, 2)	5–17	`B38/S345` (512)	26	single
43	`af899881`	k2-007, k3-028, k3-031, k3-032	4	(−1, 0)	6–13	`B3/S13468` (4,096)	17	single
44	`3021704c`	k2-012, k3-003	6	(−1, 0)	7	`B45/S34` (1,024 to 262,144)	110	single
45	`9c87573c`	k2-012, k3-003	10	(1, 0)	4–10	`B3/S2456` (512 to 131,072)	254	single
46	`a5564155`	k2-012, k3-003	14	(−1, 0)	11–17	`B456/S3468` (128 to 32,768)	11	single
47	`9d1ccd9c`	k2-013	6	(−1, 0)	9–20	`B2,10/S1` (4,294,967,296)	44	single
48	`e1067c81`	k2-013	17	(1, −1)	2–20	`B2,8,13/S1` (2,147,483,648)	275	single
49	`49a92bbe`	k2-014, k3-014, k3-020, k3-051	4	(−2, 0)	5–6	`B3/S2` (4,096 to 16,384)	179	single
50	`b79fe209`	k2-015, k3-015, k3-021, k3-052	32	(1, 0)	11–16	`B4,5,6,7,8,11/S56` (16)	30	single
51	`b3726ba1`	k2-015, k3-015, k3-021, k3-052	44	(−1, 0)	11–16	`B4,5,6,7,8,10/S56` (16)	35	single
52	`2afbf92b`	k2-017	17	(0, −1)	3–13	`B3/S25` (8,192)	949	single	B
53	`7ff20168`	k3-009	16	(−1, 0)	4–10	`B3478/S23` (134,217,728)	466	single
54	`d5600a12`	k3-022	12	(−1, −1)	9–11	`B3/S3457` (1,024)	1,158	single	B
55	`ed99f9a8`	k3-032	3	(1, 0)	10–13	`B3/S3457` (1,024)	2	single
56	`6c774748`	k3-038	53	(−1, 0)	4–24	`B3/S136` (2,048)	4	single
57	`17453dab`	k3-045	37	(1, 0)	6–23	`B4,5,9,11/S2,3,5,8,9,14` (4,096)	8	single
58	`9242617e`	k3-053	26	(0, 1)	3–7	`B36/S25` (16,384)	642	single
59	`ba6acb83`	k3-058	12	(0, 1)	6–10	`B37/S25` (16,777,216)	1,096	single	B
60	`2c3cee67`	k3-058	22	(−1, 1)	4–12	`B37/S25` (4,194,304)	359	single

Two notes on the table. The two k2-013 ships run identically in about 2³² and 2³¹ rules because they use very few neighbour counts, although that tiling’s dodecagons touch up to 24 tiles: the ships are real, but their mechanism is simple. And a derivative ship is kept as a distinct object, as Life catalogues keep tag-alongs, but it is not counted as a separate discovery.

Not claimed

Compounds. Ten catalogue entries are two ships that fly side by side and never influence each other; JETCARP’s object finder stored each pair as one ship. Eight are two of Guttesen’s kagome glider g (76704620, 3f3cce70, 6327b0f4, 9cd171f7, 98597b1c, 8054f744, fe08fb1a, cca8e8f5), one is two of Guttesen’s snub-square glider (5186d210) and one is two copies of 48e9e267 (83f8eebe).
Guttesen’s gliders. Glider g on 3.6.3.6 and the period-8 glider on 3.3.4.3.4, both in Life, were found by JETCARP’s searches independently; they are Guttesen’s, first posted as Code Golf answers in November 2024 (Guttesen 2024; Guttesen 2026). EricG had already reported spaceships in Life on both tilings in 2013, without describing them (EricG 2013). JETCARP’s 4-to-5-cell kagome ship is exactly Guttesen’s Fig. 4 glider (the same cells in one phase), and its snub-square ship matches Fig. 5 by eye; a cell-for-cell check awaits Guttesen’s published configurations. Guttesen’s large kagome glider G (period 40) was not found. Glider g also runs in corridors of kagome tiles inside the 3-uniform tilings k3-030, k3-032 and k3-039; the snub-square glider runs only on 3.3.4.3.4.
Lattice objects. Every ship on an isohedral type, and the unnamed ships of the square and triangular grids found along the way, belong to those grids.

Gallery of the 60 objects

Every one of the 60 objects, in the order of the table, grouped by the verdicts of the skeptical pass and the congruence test. Each clip is a fixed window that the ship crosses, on the first tiling of its runs on list, in the rule the search found it in, with the tile outlines drawn. The Tiling line lists every tiling on which the ship’s live tiles evolve the same way; where the empty tiles around them have other neighbour counts, the range of rules differs, and the Rules line gives each. Watch each ship come back to the same shape one period later, moved along by its displacement; the clip then starts again. Speeds are in lattice steps per period, as in the table; where a ship moves along both lattice vectors, the card gives its displacement. Slow ships are filmed every few generations, and each card says which generations its clip shows. With reduced motion, the clip is replaced by a still of a few of its positions, older ones fainter. The scenes are in docs/scenes/findings/, one per object, and docs/tools/render-animations.sh findings/ makes the clips again.

Single ships with no flag (25)

The 25 single ships that carry no flag. These are the only candidates that What is new in JETCARP claims, to our knowledge.

Spaceship 57a0326c moving across the rhombitrihexagonal tiling 3.4.6.4

57a0326c table row 24

Tiling: 3.4.6.4
Period: 42, moving 3 lattice steps per period (c/14)
Cells: 7–15
Rules: B3/S235 to B3,9,10,11,12/S2,3,5,7,8,9,10,11,12 (1,024 rules)
Seen: 61 times
Verdict: Single ship, no flag.

Clip: generations 6 to 90, every 2nd.

Spaceship b86608f6 moving across the elongated triangular tiling 3.3.3.4.4

b86608f6 table row 26

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052; found on k3-010
Period: 4, moving one lattice step per period (c/4)
Cells: 12–16
Rules: B456/S347 to B4,5,6,7,8,9,10,11,12/S0,3,4,7,8,9,10,11,12 (4,096 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B456/S347 to B4,5,6,7,8,9,10/S0,3,4,7,8,9,10 (256 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 7 times
Verdict: Single ship, no flag.

Clip: generations 1 to 49.

Spaceship 3e30b9ff moving across the elongated triangular tiling 3.3.3.4.4

3e30b9ff table row 28

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052
Period: 8, moving 2 lattice steps per period (c/4)
Cells: 13–17
Rules: B46/S3458 to B4,6,9,10,11,12/S0,1,3,4,5,8,9,10,11,12 (1,024 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B46/S3458 to B4,6,9,10/S0,1,3,4,5,8,9,10 (64 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 2 times
Verdict: Single ship, no flag.

Clip: generations 0 to 48.

Spaceship d36fd2c3 moving across the elongated triangular tiling 3.3.3.4.4

d36fd2c3 table row 29

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052; found on k3-010
Period: 18, moving one lattice step per period (c/18)
Cells: 10–14
Rules: B4567/S3478 to B4,5,6,7,9,10,11,12/S0,3,4,7,8,9,10,11,12 (512 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B4567/S3478 to B4,5,6,7,9,10/S0,3,4,7,8,9,10 (32 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 45 times
Verdict: Single ship, no flag.

Clip: generations 8 to 224, every 4th.

Spaceship 9f3f8ff8 moving across the elongated triangular tiling 3.3.3.4.4

9f3f8ff8 table row 30

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052; found on k3-010
Period: 26, moving one lattice step per period (c/26)
Cells: 17–26
Rules: B45679/S3478 to B4,5,6,7,9,10,11,12/S0,1,3,4,7,8,10,11,12 (256 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B45679/S3478 to B4,5,6,7,9,10/S0,1,3,4,7,8,10 (16 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 1 time
Verdict: Single ship, no flag.

Clip: generations 0 to 364, every 6th.

Spaceship d3cd3951 moving across the snub hexagonal tiling 3.3.3.3.6

d3cd3951 table row 31

Tiling: 3.3.3.3.6
Period: 27, moving one lattice step per period (c/27)
Cells: 4–18
Rules: B37/S2,5,6,10 to B3,7,8,9,11,12,13,14,15,16,17,18/S2,5,6,8,9,10,11,12,13,14,15,16,17,18 (1,048,576 rules)
Seen: 30 times
Verdict: Single ship, no flag.

Clip: generations 9 to 144, every 3rd.

Spaceship 2e4467c0 moving across the 2-uniform tiling k2-004

2e4467c0 table row 38

Tiling: k2-004 (shown); also k2-003, k3-010, k3-013, k3-016 and k3-019
Period: 3, moving one lattice step per period (c/3)
Cells: 4–6
Rules: B3/S35 to B3,6,7,8,9,10/S0,3,5,6,7,8,9,10 (2,048 rules) on k2-004, k2-003, k3-010 and k3-016; B3/S35 to B3,6,7,8,9,10,11,12/S0,3,5,6,7,8,9,10,11,12 (32,768 rules) on k3-013 and k3-019
Seen: 19 times
Verdict: Single ship, no flag.

Clip: generations 1 to 43.

Spaceship 6469dbc4 moving across the 2-uniform tiling k2-004

6469dbc4 table row 39

Tiling: k2-004 (shown); also k2-003, k3-010 and k3-016
Period: 5, moving one lattice step per period (c/5)
Cells: 5–9
Rules: B3/S356 to B3,7,8,9,10/S0,3,5,6,7,8,9,10 (512 rules)
Seen: 4 times
Verdict: Single ship, no flag.

Clip: generations 3 to 63.

Spaceship 9bebe7ea moving across the 2-uniform tiling k2-006

9bebe7ea table row 41

Tiling: k2-006 (shown); also k3-028; found on k3-028
Period: 16, moving one lattice step per period (c/16)
Cells: 8–11
Rules: B3/S1346 to B3,8,9,10,11,12/S1,3,4,6,7,8,9,10,11,12 (2,048 rules)
Seen: 13 times
Verdict: Single ship, no flag.

Clip: generations 2 to 130, every 3rd.

Spaceship 3fcb35b1 moving across the 2-uniform tiling k2-006

3fcb35b1 table row 42

Tiling: k2-006
Period: 46, moving (−1, 2) per period
Cells: 5–17
Rules: B38/S345 to B3,8,9,10,11,12/S3,4,5,8,9,10,11,12 (512 rules)
Seen: 26 times
Verdict: Single ship, no flag.

Clip: generations 11 to 149, every 3rd.

Spaceship af899881 moving across the 2-uniform tiling k2-007

af899881 table row 43

Tiling: k2-007 (shown); also k3-028, k3-031 and k3-032; found on k3-028
Period: 4, moving one lattice step per period (c/4)
Cells: 6–13
Rules: B3/S13468 to B3,7,8,9,10,11,12/S0,1,3,4,6,7,8,9,10,11,12 (4,096 rules)
Seen: 17 times
Verdict: Single ship, no flag.

Clip: generations 3 to 43.

Spaceship 3021704c moving across the 2-uniform tiling k2-012

3021704c table row 44

Tiling: k2-012 (shown); also k3-003
Period: 6, moving one lattice step per period (c/6)
Cells: 7
Rules: B45/S34 to B4,5,8,9,10,11,12,13,14/S0,1,3,4,6,7,8,9,10,11,12,13,14 (262,144 rules) on k2-012; B45/S34 to B4,5,8,9,10/S0,1,3,4,6,7,8,9,10 (1,024 rules) on k3-003
Seen: 110 times
Verdict: Single ship, no flag.

Clip: generations 0 to 48.

Spaceship 9c87573c moving across the 2-uniform tiling k2-012

9c87573c table row 45

Tiling: k2-012 (shown); also k3-003; found on k3-003
Period: 10, moving one lattice step per period (c/10)
Cells: 4–10
Rules: B3/S2456 to B3,6,7,8,9,10,11,12,13,14/S0,2,4,5,6,8,9,10,11,12,13,14 (131,072 rules) on k2-012; B3/S2456 to B3,6,7,8,9,10/S0,2,4,5,6,8,9,10 (512 rules) on k3-003
Seen: 254 times
Verdict: Single ship, no flag.

Clip: generations 0 to 80, every 2nd.

Spaceship a5564155 moving across the 2-uniform tiling k2-012

a5564155 table row 46

Tiling: k2-012 (shown); also k3-003
Period: 14, moving one lattice step per period (c/14)
Cells: 11–17
Rules: B456/S3468 to B4,5,6,8,9,10,11,12,13,14/S0,1,3,4,6,8,9,10,11,12,13,14 (32,768 rules) on k2-012; B456/S3468 to B4,5,6,8,9,10/S0,1,3,4,6,8,9,10 (128 rules) on k3-003
Seen: 11 times
Verdict: Single ship, no flag.

Clip: generations 0 to 112, every 2nd.

Spaceship 9d1ccd9c moving across the 2-uniform tiling k2-013

9d1ccd9c table row 47

Tiling: k2-013
Period: 6, moving one lattice step per period (c/6)
Cells: 9–20
Rules: B2,10/S1 to B2,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24/S1,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 (4,294,967,296 rules)
Seen: 44 times
Verdict: Single ship, no flag.

Clip: generations 4 to 46.

Spaceship e1067c81 moving across the 2-uniform tiling k2-013

e1067c81 table row 48

Tiling: k2-013
Period: 17, moving (1, −1) per period
Cells: 2–20
Rules: B2,8,13/S1 to B2,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24/S1,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 (2,147,483,648 rules)
Seen: 275 times
Verdict: Single ship, no flag.

Clip: generations 7 to 58.

Spaceship 49a92bbe moving across the 2-uniform tiling k2-014

49a92bbe table row 49

Tiling: k2-014 (shown); also k3-014, k3-020 and k3-051
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 5–6
Rules: B3/S2 to B3,7,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (16,384 rules) on k2-014 and k3-051; B3/S2 to B3,7,8,9,10,11/S2,5,6,7,8,9,10,11 (4,096 rules) on k3-014 and k3-020
Seen: 179 times
Verdict: Single ship, no flag.

Clip: generations 1 to 41.

Spaceship b79fe209 moving across the 2-uniform tiling k2-015

b79fe209 table row 50

Tiling: k2-015 (shown); also k3-015, k3-021 and k3-052; found on k3-021
Period: 32, moving one lattice step per period (c/32)
Cells: 11–16
Rules: B4,5,6,7,8,11/S56 to B4,5,6,7,8,10,11,12/S0,5,6,12 (16 rules)
Seen: 30 times
Verdict: Single ship, no flag.

Clip: generations 11 to 363, every 6th.

Spaceship b3726ba1 moving across the 2-uniform tiling k2-015

b3726ba1 table row 51

Tiling: k2-015 (shown); also k3-015, k3-021 and k3-052; found on k3-021
Period: 44, moving one lattice step per period (c/44)
Cells: 11–16
Rules: B4,5,6,7,8,10/S56 to B4,5,6,7,8,10,11,12/S0,5,6,12 (16 rules)
Seen: 35 times
Verdict: Single ship, no flag.

Clip: generations 8 to 448, every 7th.

Spaceship 7ff20168 moving across the 3-uniform tiling k3-009

7ff20168 table row 53

Tiling: k3-009
Period: 16, moving one lattice step per period (c/16)
Cells: 4–10
Rules: B3478/S23 to B3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20/S2,3,7,8,9,10,11,12,13,14,15,16,17,18,19,20 (134,217,728 rules)
Seen: 466 times
Verdict: Single ship, no flag.

Clip: generations 1 to 81, every 2nd.

Spaceship ed99f9a8 moving across the 3-uniform tiling k3-032

ed99f9a8 table row 55

Tiling: k3-032
Period: 3, moving one lattice step per period (c/3)
Cells: 10–13
Rules: B3/S3457 to B3,7,8,9,10,11,12/S3,4,5,7,9,10,11,12 (1,024 rules)
Seen: 2 times
Verdict: Single ship, no flag.

Clip: generations 0 to 42.

Spaceship 6c774748 moving across the 3-uniform tiling k3-038

6c774748 table row 56

Tiling: k3-038
Period: 53, moving one lattice step per period (c/53)
Cells: 4–24
Rules: B3/S136 to B3,10,11,12,13,14/S1,3,6,9,10,11,12,13,14 (2,048 rules)
Seen: 4 times
Verdict: Single ship, no flag.

Clip: generations 41 to 359, every 6th.

Spaceship 17453dab moving across the 3-uniform tiling k3-045

17453dab table row 57

Tiling: k3-045
Period: 37, moving one lattice step per period (c/37)
Cells: 6–23
Rules: B4,5,9,11/S2,3,5,8,9,14 to B4,5,9,10,11,13,14,15,16/S0,2,3,5,8,9,10,11,12,13,14,15,16 (4,096 rules)
Seen: 8 times
Verdict: Single ship, no flag.

Clip: generations 5 to 264, every 5th.

Spaceship 9242617e moving across the 3-uniform tiling k3-053

9242617e table row 58

Tiling: k3-053
Period: 26, moving one lattice step per period (c/26)
Cells: 3–7
Rules: B36/S25 to B3,6,7,8,9,10,11,12/S0,2,5,6,7,8,9,10,11,12 (16,384 rules)
Seen: 642 times
Verdict: Single ship, no flag.

Clip: generations 11 to 63.

Spaceship 2c3cee67 moving across the 3-uniform tiling k3-058

2c3cee67 table row 60

Tiling: k3-058
Period: 22, moving (−1, 1) per period
Cells: 4–12
Rules: B37/S25 to B3,7,9,10,11,12,13,14,15,16,17,18/S2,5,6,8,9,10,11,12,13,14,15,16,17,18 (4,194,304 rules)
Seen: 359 times
Verdict: Single ship, no flag.

Clip: generations 10 to 73.

Derivatives with no flag (7)

A smaller ship that pulls a passenger along unchanged. Each is kept as a distinct object, with its core linked, but is not counted as a discovery. Six more derivatives are flagged and shown below.

Spaceship ca2f31b0 moving across the truncated square tiling 4.8.8

ca2f31b0 table row 2

Tiling: 4.8.8
Period: 2, moving one lattice step per period (c/2)
Cells: 14–16
Rules: B2/S2 to B2678/S245678 (256 rules)
Seen: 8 times
Verdict: Derivative: 78d55497 with a tag-along; not counted as a discovery.

Clip: generations 0 to 36.

Spaceship 2f5d3182 moving across the truncated square tiling 4.8.8

2f5d3182 table row 4

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 9–10
Rules: B2/S2 to B25678/S25678 (256 rules)
Seen: 32 times
Verdict: Derivative: bde55795 with a tag-along; not counted as a discovery.

Clip: generations 1 to 41.

Spaceship 298db0cf moving across the truncated square tiling 4.8.8

298db0cf table row 5

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 9–14
Rules: B2/S2 to B278/S25678 (64 rules)
Seen: 5 times
Verdict: Derivative: 78d55497 with a tag-along; not counted as a discovery.

Clip: generations 1 to 41.

Spaceship 984c5dd5 moving across the truncated square tiling 4.8.8

984c5dd5 table row 6

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 7–10
Rules: B2/S2 to B2678/S245678 (256 rules)
Seen: 92 times
Verdict: Derivative: 78d55497 with a tag-along; not counted as a discovery.

Clip: generations 0 to 40.

Spaceship 87759c78 moving across the truncated square tiling 4.8.8

87759c78 table row 7

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 14–17
Rules: B2/S2 to B2678/S245678 (256 rules)
Seen: 2 times
Verdict: Derivative: 78d55497 with a tag-along; not counted as a discovery.

Clip: generations 2 to 36.

Spaceship c45a97a1 moving across the truncated square tiling 4.8.8

c45a97a1 table row 10

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 8–9
Rules: B2/S2 to B25678/S25678 (256 rules)
Seen: 3 times
Verdict: Derivative: 7f22824b with a tag-along; not counted as a discovery.

Clip: generations 1 to 41.

Spaceship 25ba593a moving across the truncated hexagonal tiling 3.12.12

25ba593a table row 22

Tiling: 3.12.12
Period: 8, moving 4 lattice steps per period (c/2)
Cells: 12–23
Rules: B26/S26 to B2,6,8,9,10,11,12/S2,6,7,9,10,11,12 (1,024 rules)
Seen: 1 time
Verdict: Derivative: 95528302 with a tag-along; not counted as a discovery.

Clip: generations 4 to 24.

Flag A: most likely already known (11)

Small ships that turn up often in soups and run in many rules on an Archimedean tiling, and the ships built on Guttesen’s gliders. We found no earlier report of them, but others may well have seen them, so they are not claimed.

Spaceship 78d55497 moving across the truncated square tiling 4.8.8

78d55497 table row 3

Tiling: 4.8.8
Period: 2, moving one lattice step per period (c/2)
Cells: 5
Rules: B2/S2 to B25678/S245678 (512 rules)
Seen: 8,034 times
Verdict: Flag A, most likely already known: small (5 cells), common (seen 8,034 times) and wide-range (512 rules) on an Archimedean tiling. Single ship.

Clip: generations 0 to 40.

Spaceship bde55795 moving across the truncated square tiling 4.8.8

bde55795 table row 9

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 5–6
Rules: B2/S2 to B25678/S25678 (256 rules)
Seen: 406 times
Verdict: Flag A, most likely already known: small (5–6 cells), common (seen 406 times) and wide-range (256 rules) on an Archimedean tiling. Single ship.

Clip: generations 1 to 41.

Spaceship 30594bf3 moving across the truncated hexagonal tiling 3.12.12

30594bf3 table row 20

Tiling: 3.12.12
Period: 2, moving one lattice step per period (c/2)
Cells: 4–5
Rules: B2/S2 to B2,6,7,8,9,10,11,12/S2,4,5,6,7,8,9,10,11,12 (65,536 rules)
Seen: 1,742 times
Verdict: Flag A, most likely already known: small (4–5 cells), common (seen 1,742 times) and wide-range (65,536 rules) on an Archimedean tiling. Single ship.

Clip: generations 1 to 34.

Spaceship 3aaf02c0 moving across the truncated hexagonal tiling 3.12.12

3aaf02c0 table row 21

Tiling: 3.12.12
Period: 6, moving (−2, 4) per period
Cells: 5–8
Rules: B2/S2 to B2,5,6,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (32,768 rules)
Seen: 1,585 times
Verdict: Flag A, most likely already known: small (5–8 cells), common (seen 1,585 times) and wide-range (32,768 rules) on an Archimedean tiling. Single ship.

Clip: generations 2 to 29.

Spaceship 781cc2ef moving across the truncated trihexagonal tiling 4.6.12

781cc2ef table row 23

Tiling: 4.6.12
Period: 4, moving one lattice step per period (c/4)
Cells: 5–6
Rules: B2/S2 to B2,5,6,7,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (65,536 rules)
Seen: 373 times
Verdict: Flag A, most likely already known: small (5–6 cells), common (seen 373 times) and wide-range (65,536 rules) on an Archimedean tiling. Single ship.

Clip: generations 1 to 41.

Spaceship d8692b4b moving across the elongated triangular tiling 3.3.3.4.4

d8692b4b table row 25

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052; found on k3-016 and, as 388daffd, on k3-013
Period: 4, moving one lattice step per period (c/4)
Cells: 7
Rules: B45/S34 to B4,5,8,9,10,11,12/S0,3,4,7,8,9,10,11,12 (4,096 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B45/S34 to B4,5,8,9,10/S0,3,4,7,8,9,10 (256 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 447 times (249 as d8692b4b, 198 as 388daffd)
Verdict: Flag A, most likely already known: small (7 cells), common (seen 447 times) and wide-range (4,096 rules) on an Archimedean tiling. Single ship.

Clip: generations 0 to 48.

Spaceship 1a403313 moving across the elongated triangular tiling 3.3.3.4.4

1a403313 table row 27

Tiling: 3.3.3.4.4 (shown); also k2-003, k2-004, k3-010, k3-013, k3-016, k3-019, k3-051 and k3-052; found on k3-019 and, as cf8efa2e, on k3-019
Period: 5, moving one lattice step per period (c/5)
Cells: 4–5
Rules: B3/S2 to B3,6,7,8,9,10,11,12/S0,2,4,5,6,7,8,9,10,11,12 (131,072 rules) on 3.3.3.4.4, k3-013, k3-019, k3-051 and k3-052; B3/S2 to B3,6,7,8,9,10/S0,2,4,5,6,7,8,9,10 (8,192 rules) on k2-003, k2-004, k3-010 and k3-016
Seen: 406 times (229 as 1a403313, 177 as cf8efa2e)
Verdict: Flag A, most likely already known: small (4–5 cells), common (seen 406 times) and wide-range (131,072 rules) on an Archimedean tiling. Single ship.

Clip: generations 0 to 55.

Spaceship c696c65e moving across the snub square tiling 3.3.4.3.4

c696c65e table row 32

Tiling: 3.3.4.3.4
Period: 16, moving 4 lattice steps per period (c/4)
Cells: 15–33
Rules: B3/S23 to B3,8,10,11,12/S2,3,9,10,11,12 (256 rules)
Seen: 1 time
Verdict: Flag A, most likely already known: runs in Life (B3/S23) on an Archimedean tiling that Guttesen searched; built on Guttesen's snub-square glider. Derivative: a bound pair of Guttesen's snub-square glider.

Clip: generations 0 to 48.

Spaceship a5e9ba80 moving across the snub square tiling 3.3.4.3.4

a5e9ba80 table row 33

Tiling: 3.3.4.3.4
Period: 24, moving 6 lattice steps per period (c/4)
Cells: 17–50
Rules: B3/S23 to B3,8,10,11,12/S2,3,10,11,12 (128 rules)
Seen: 1 time
Verdict: Flag A, most likely already known: runs in Life (B3/S23) on an Archimedean tiling that Guttesen searched; contains a perturbed phase of Guttesen's snub-square glider. Single ship.

Clip: generations 15 to 55.

Spaceship 1df4b31f moving across the trihexagonal (kagome) tiling 3.6.3.6

1df4b31f table row 35

Tiling: 3.6.3.6 (shown); also k3-030, k3-032 and k3-039; found on k3-032
Period: 4, moving one lattice step per period (c/4)
Cells: 7–8
Rules: B3/S345 to B3,4,6,8,9,10,11,12/S0,3,4,5,7,8,9,10,11,12 (16,384 rules)
Seen: 1,347 times
Verdict: Flag A, most likely already known: small (7–8 cells), common (seen 1,347 times) and wide-range (16,384 rules) on an Archimedean tiling. Single ship.

Clip: generations 0 to 40.

Spaceship e08df0a8 moving across the trihexagonal (kagome) tiling 3.6.3.6

e08df0a8 table row 36

Tiling: 3.6.3.6
Period: 4, moving one lattice step per period (c/4)
Cells: 10–13
Rules: B36/S23 to B3,6,7,8,9,10,11,12/S2,3,6,7,9,10,11,12 (4,096 rules)
Seen: 2 times
Verdict: Flag A, most likely already known: built on Guttesen's kagome glider g; runs in HighLife (B36/S23) on an Archimedean tiling. Derivative: Guttesen's kagome glider g with a tag-along.

Clip: generations 1 to 41.

Flag B: check before claiming (17)

Ships that run in a well-known rule on an Archimedean tiling, contain a phase of one of Guttesen’s gliders, were very common in their search, or run on 4.8.8 or 3.12.12 in the rules where EricG reported many spaceships in 2013 without listing them. We found no earlier report of them, but others may well have seen them, so they are not claimed.

Spaceship 9d091ca3 moving across the truncated square tiling 4.8.8

9d091ca3 table row 1

Tiling: 4.8.8
Period: 2, moving one lattice step per period (c/2)
Cells: 5–9
Rules: B2/S3 to B25678/S034678 (512 rules)
Seen: 270 times
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Single ship.

Clip: generations 1 to 41.

Spaceship feae0172 moving across the truncated square tiling 4.8.8

feae0172 table row 8

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 10–15
Rules: B2/S3 to B2568/S3478 (64 rules)
Seen: 54 times
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Derivative: 9d091ca3 with a tag-along.

Clip: generations 0 to 40.

Spaceship 7f22824b moving across the truncated square tiling 4.8.8

7f22824b table row 11

Tiling: 4.8.8
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 7
Rules: B2/S2 to B245678/S25678 (512 rules)
Seen: 9 times
Verdict: Flag B, check before claiming: runs in B2/S2 on 4.8.8, among the B2 rules where EricG (2013) reported many spaceships without listing them. Single ship; contains a perturbed phase of 78d55497 and bde55795.

Clip: generations 0 to 40.

Spaceship 504fdf46 moving across the truncated square tiling 4.8.8

504fdf46 table row 12

Tiling: 4.8.8
Period: 6, moving 2 lattice steps per period (c/3)
Cells: 7–13
Rules: B2/S2 to B2578/S25678 (128 rules)
Seen: 11 times
Verdict: Flag B, check before claiming: runs in B2/S2 on 4.8.8, among the B2 rules where EricG (2013) reported many spaceships without listing them. Single ship.

Clip: generations 2 to 44.

Spaceship 908dc7a0 moving across the truncated square tiling 4.8.8

908dc7a0 table row 13

Tiling: 4.8.8
Period: 12, moving 6 lattice steps per period (c/2)
Cells: 12–18
Rules: B2/S34 to B2678/S34678 (64 rules)
Seen: 2 times
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Derivative: 9d091ca3 with a tag-along.

Clip: generations 2 to 34.

Spaceship 87dfbfaf moving across the truncated square tiling 4.8.8

87dfbfaf table row 14

Tiling: 4.8.8
Period: 16, moving 8 lattice steps per period (c/2)
Cells: 19–26
Rules: B2/S34 to B268/S3478 (16 rules)
Seen: 1 time
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Derivative: 9d091ca3 with a tag-along.

Clip: generations 6 to 34.

Spaceship 71f3b4b3 moving across the truncated square tiling 4.8.8

71f3b4b3 table row 15

Tiling: 4.8.8
Period: 16, moving 8 lattice steps per period (c/2)
Cells: 14–20
Rules: B2/S34 to B2568/S3478 (32 rules)
Seen: 95 times
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Derivative: 9d091ca3 with a tag-along.

Clip: generations 6 to 38.

Spaceship 76897484 moving across the truncated square tiling 4.8.8

76897484 table row 16

Tiling: 4.8.8
Period: 16, moving 8 lattice steps per period (c/2)
Cells: 14–28
Rules: B2/S34 to B278/S34678 (32 rules)
Seen: 271 times
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Single ship.

Clip: generations 2 to 30.

Spaceship a333894b moving across the truncated square tiling 4.8.8

a333894b table row 17

Tiling: 4.8.8
Period: 24, moving 12 lattice steps per period (c/2)
Cells: 14–21
Rules: B2/S3 to B278/S345678 (128 rules)
Seen: 1 time
Verdict: Flag B, check before claiming: runs in B2/S34, the rule of the 4.8.8 hunts (Hexagonal Life without its H). Single ship.

Clip: generations 6 to 46.

Spaceship 95528302 moving across the truncated hexagonal tiling 3.12.12

95528302 table row 18

Tiling: 3.12.12
Period: 2, moving one lattice step per period (c/2)
Cells: 6–9
Rules: B26/S2 to B2,4,6,7,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (32,768 rules)
Seen: 39 times
Verdict: Flag B, check before claiming: runs in B26 rules on 3.12.12, beside the B2/S2 and B26/S3569 rules where EricG (2013) reported many spaceships without listing them. Single ship; contains a perturbed phase of 30594bf3.

Clip: generations 1 to 32.

Spaceship 18746b1c moving across the truncated hexagonal tiling 3.12.12

18746b1c table row 19

Tiling: 3.12.12
Period: 2, moving one lattice step per period (c/2)
Cells: 7–9
Rules: B26/S2 to B2,6,7,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (16,384 rules)
Seen: 6 times
Verdict: Flag B, check before claiming: runs in B26 rules on 3.12.12, beside the B2/S2 and B26/S3569 rules where EricG (2013) reported many spaceships without listing them. Single ship; contains a perturbed phase of 95528302 and 30594bf3.

Clip: generations 1 to 31.

Spaceship 8f790b16 moving across the trihexagonal (kagome) tiling 3.6.3.6

8f790b16 table row 34

Tiling: 3.6.3.6 (shown); also k3-030, k3-032 and k3-039
Period: 4, moving one lattice step per period (c/4)
Cells: 8–9
Rules: B36/S23 to B3,6,7,8,9,10,11,12/S2,3,6,7,8,9,10,11,12 (8,192 rules)
Seen: 423 times
Verdict: Flag B, check before claiming: runs in HighLife (B36/S23) on an Archimedean tiling; contains a perturbed phase of Guttesen's kagome glider g. Single ship.

Clip: generations 0 to 40.

Spaceship 48e9e267 moving across the trihexagonal (kagome) tiling 3.6.3.6

48e9e267 table row 37

Tiling: 3.6.3.6
Period: 12, moving 3 lattice steps per period (c/4)
Cells: 5–12
Rules: B38/S23 to B3,8,9,10,11,12/S2,3,6,7,8,9,10,11,12 (2,048 rules)
Seen: 595 times
Verdict: Flag B, check before claiming: runs in Pedestrian Life (B38/S23) on an Archimedean tiling; contains a perturbed phase of Guttesen's kagome glider g. Single ship.

Clip: generations 3 to 51.

Spaceship e71e1136 moving across the 2-uniform tiling k2-006

e71e1136 table row 40

Tiling: k2-006 (shown); also k3-028, k3-029 and k3-030; found on k3-029
Period: 10, moving one lattice step per period (c/10)
Cells: 4–9
Rules: B36/S23 to B3,6,7,8,9,10,11,12/S2,3,7,8,9,10,11,12 (4,096 rules)
Seen: 43 times
Verdict: Flag B, check before claiming: runs in HighLife (B36/S23). Single ship.

Clip: generations 1 to 81, every 2nd.

Spaceship 2afbf92b moving across the 2-uniform tiling k2-017

2afbf92b table row 52

Tiling: k2-017
Period: 17, moving one lattice step per period (c/17)
Cells: 3–13
Rules: B3/S25 to B3,7,8,9,10,11,12/S2,5,6,7,8,9,10,11,12 (8,192 rules)
Seen: 949 times
Verdict: Flag B, check before claiming: common in its search (seen 949 times). Single ship.

Clip: generations 6 to 57.

Spaceship d5600a12 moving across the 3-uniform tiling k3-022

d5600a12 table row 54

Tiling: k3-022
Period: 12, moving (−1, −1) per period
Cells: 9–11
Rules: B3/S3457 to B3,8,9,10,11,12/S3,4,5,7,8,9,10,11,12 (1,024 rules)
Seen: 1,158 times
Verdict: Flag B, check before claiming: common in its search (seen 1,158 times). Single ship.

Clip: generations 0 to 48.

Spaceship ba6acb83 moving across the 3-uniform tiling k3-058

ba6acb83 table row 59

Tiling: k3-058
Period: 12, moving one lattice step per period (c/12)
Cells: 6–10
Rules: B37/S25 to B3,7,8,9,10,11,12,13,14,15,16,17,18/S2,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (16,777,216 rules)
Seen: 1,096 times
Verdict: Flag B, check before claiming: common in its search (seen 1,096 times). Single ship.

Clip: generations 3 to 51.

Life on the Archimedean and k-uniform tilings

The candidates above came from searches that ran Conway’s Life itself on only a few tilings, so what they say about Life is incomplete. In November 2026 JETCARP therefore ran a census of Life (B3/S23, with cells that share an edge or a vertex as neighbours) on 92 tilings: the 11 Archimedean tilings, which include the square, hexagonal and triangular grids, the 20 2-uniform tilings and the 61 3-uniform tilings of the k-uniform catalogue. On each it ran 50,000 random soups of 16 by 16 unit cells, each cell live with probability one half, on the unbounded plane until the soup settled, and catalogued every object that was left and every spaceship that flew away (jetcarp search hunt, the job labelled life-k123).

Life has spaceships on 28 of the 92 tilings: four Archimedean tilings (the square grid, 3.6.3.6, 3.3.3.4.4 and 3.3.4.3.4), five of the 2-uniform tilings and 19 of the 3-uniform ones. On the other 64, no soup produced one. That is not a proof that they have none: a ship that turns up in fewer than about one soup in 50,000 could easily have been missed, and so would any ship of period above 64, which the census did not look for.

Tiling	Soups	Ships seen	Distinct objects	Of which listed here
square	50,000	95,227	6	4 known, 2 compound
hexagonal	50,000	none
triangular	50,000	none
4.8.8	50,000	none
3.6.3.6	50,000	149,878	13	1 known, 12 compound
3.3.3.4.4	50,000	4,605	2	1 known, 1 compound
3.3.4.3.4	50,000	118,322	21	1 known, 1 flagged, 5 derivative, 14 compound
3.3.3.3.6	50,000	none
3.4.6.4	50,000	none
3.12.12	50,000	none
4.6.12	50,000	none
k2-001	50,000	none
k2-002	50,000	none
k2-003	50,000	577	2	1 single, 1 flagged
k2-004	50,000	none
k2-005	50,000	none
k2-006	50,000	none
k2-007	50,000	5,773	3	1 known, 1 flagged, 1 compound
k2-008	50,000	none
k2-009	50,000	none
k2-010	50,000	none
k2-011	50,000	332	1	1 flagged
k2-012	50,000	1	1	1 single
k2-013	50,000	none
k2-014	50,000	none
k2-015	50,000	none
k2-016	50,000	none
k2-017	50,000	67,753	3	1 flagged, 1 derivative, 1 compound
k2-018	50,000	none
k2-019	50,000	none
k2-020	50,000	none
k3-001	50,000	none
k3-002	50,000	560	2	1 single; 1 listed on k2-011
k3-003	50,000	none
k3-004	50,000	none
k3-005	50,000	none
k3-006	50,000	none
k3-007	50,000	none
k3-008	50,000	none
k3-009	50,000	none
k3-010	50,000	384	4	2 single; 1 listed on square; 1 listed on k2-003
k3-011	50,000	26	4	4 single
k3-012	50,000	none
k3-013	50,000	4,248	2	1 compound; 1 listed on 3.3.3.4.4
k3-014	50,000	none
k3-015	50,000	none
k3-016	50,000	379	1	1 listed on k2-003
k3-017	50,000	none
k3-018	50,000	none
k3-019	50,000	4,744	1	1 listed on 3.3.3.4.4
k3-020	50,000	none
k3-021	50,000	none
k3-022	50,000	none
k3-023	50,000	none
k3-024	50,000	none
k3-025	50,000	none
k3-026	50,000	none
k3-027	50,000	none
k3-028	50,000	none
k3-029	50,000	none
k3-030	50,000	35,750	9	7 compound; 2 listed on 3.6.3.6
k3-031	50,000	none
k3-032	50,000	35,643	11	9 compound; 2 listed on 3.6.3.6
k3-033	50,000	none
k3-034	50,000	none
k3-035	50,000	none
k3-036	50,000	none
k3-037	50,000	none
k3-038	50,000	none
k3-039	50,000	47,294	13	1 flagged, 2 derivative, 8 compound; 2 listed on 3.6.3.6
k3-040	50,000	3,675	3	1 single, 1 flagged, 1 compound
k3-041	50,000	150	1	1 single
k3-042	50,000	none
k3-043	50,000	none
k3-044	50,000	88,580	45	1 single, 1 flagged, 3 derivative, 40 compound
k3-045	50,000	7,644	3	1 flagged, 2 compound
k3-046	50,000	3,794	2	1 derivative; 1 listed on k3-045
k3-047	50,000	none
k3-048	50,000	none
k3-049	50,000	none
k3-050	50,000	none
k3-051	50,000	none
k3-052	50,000	none
k3-053	50,000	70,914	1	1 listed on k2-017
k3-054	50,000	none
k3-055	50,000	266	14	13 single, 1 derivative
k3-056	50,000	none
k3-057	50,000	6,610	2	1 single, 1 flagged
k3-058	50,000	none
k3-059	50,000	81,623	12	1 flagged, 1 derivative, 10 compound
k3-060	50,000	none
k3-061	50,000	34,070	17	1 flagged, 1 derivative, 15 compound

Ships seen counts every ship the census met, so a soup that sent out three gliders counts three. Distinct objects counts the objects among them after the checks below; of which listed here counts those listed on this tiling, since an object that also runs on a simpler tiling is listed there.

How the census ships were checked

The census catalogued 198 distinct spaceship records. Each went through the same checks as the candidates above:

JETCARP ran it alone on a large wrapped patch, on a smaller one and with dead edges, and its object finder saw one spaceship each time, with the recorded period and displacement; a scratch catalog recomputed the same range of rules. The object finder cannot do this for a ship whose parts lie too far apart to be grouped (it sees the parts of a bound pair as two ships, and the pieces of one large k3-055 ship, 5f371c4c, as debris); for those, JETCARP’s engine was checked to repeat the ship, translated, for 12 periods.
Every phase was split into groups and each group run alone, to find compounds: two or more smaller ships flying together without influencing each other.
Every smaller ship of the same tiling was searched for inside it, to find derivatives: a smaller ship that runs inside it unchanged and pulls a passenger along, or two ships that are bound together.
Every pair of records, and every record against the candidates above and Guttesen’s gliders, was tested for congruence: the same live tiles at every generation, after one rotation, reflection and translation and a shift of phase, whatever the neighbour counts of the empty tiles around them. A congruent pair is one object.
Each object’s live tiles were placed on all 181 tilings of the earlier checks (Archimedean, 2-uniform, 3-uniform and isohedral), and JETCARP ran every placement that Life allows. An object is listed on the simplest tiling where it runs in Life: Archimedean before 2-uniform before 3-uniform.
Each object was compared with the known Life ships: Conway’s glider and spaceships, Guttesen’s two gliders, the 3.3.3.4.4 ship that EricG reported, and Büttner’s period-20 ship. The last two could only be compared with their published descriptions, since their patterns are not available.

Verdict	Objects
Spaceship records in the census	198
Records added from the 500,000-soup hunt on k2-007	1
Distinct objects (records congruent to one another merged)	185
Compounds: two or more smaller ships flying together	124
Derivatives: a smaller ship with a passenger, or a bound pair	15
Known objects, credited below	8
Ships of a simpler tiling	0
Single ships, flagged	12
Single ships with no flag	26

Two kinds of verdict need a word. A ship found in a corridor of a simpler tiling inside a 3-uniform tiling is the same object as the simpler tiling’s ship, and every such ship in this census was also found on the simpler tiling itself: Guttesen’s glider g in the kagome corridors of k3-030, k3-032 and k3-039, the lightweight spaceship in the strips of squares of k3-010, the probable EricG ship in the strips of squares and triangles of k3-013 and k3-019, and three ships that run on a 2-uniform tiling and in strips of 3-uniform ones. So no object had to be moved to a simpler tiling. And a flagged ship passed every check, but is so common (in at least one soup in a hundred on a tiling where the census met it) that anyone who ran Life there would see it at once, or lies on a tiling where others have run Life before (3.3.4.3.4 and k2-007). For these the question is not whether the ship is new, but whether anyone has run Life on that tiling. We know of no one who has run Life on a 3-uniform tiling, or on a 2-uniform tiling other than k2-007; other rules have been run on k2-001, where the census found no Life ship (see What is new in JETCARP).

Most census records are not new objects. JETCARP’s object finder stores ships that fly side by side as one, so the census lists 124 compounds, nearly all pairs (and a few triples) of the commonest ship of their tiling: 40 of the period-31 ship of k3-044, 29 of Guttesen’s glider g on 3.6.3.6 and in kagome corridors, 15 of the period-22 ship of k3-061, 14 of the snub-square glider, 10 of the period-30 ship of k3-059, 7 of the period-20 ship of k3-039 (three of them with a glider g), and a few more, among them two pairs of Conway’s glider and two of the probable EricG ship. The 15 derivatives are 14 bound pairs (five of them made of the snub-square glider) and one large k3-055 ship that carries a smaller k3-055 ship unchanged and drags debris behind it. Six single ships contain a perturbed phase of a smaller ship without being built from it, as Life’s own heavyweight spaceship contains a phase of the lightweight one: the period-24 ship on 3.3.4.3.4 (Guttesen’s glider), the period-20 ship of k3-039 (glider g), the k3-010 ship 25c5dc4a (the lightweight spaceship, which runs unchanged in the strips of squares of k3-010), and three ships of k3-002 and k3-011 that each contain a phase of a smaller ship of their own tiling.

The large ships of k3-055 deserve a caution. The census found 14 of them, all moving at c/4, with periods of 20, 32 and 64 and up to 169 cells, each seen in only 1 to 185 soups. No test splits them into independent parts, and only one of them carries a smaller one unchanged, so 13 are listed as single ships; but they look alike, and a closer look may well find that they share a common engine.

The Life objects

The known objects and every single ship that passed the checks, flagged or not, in the order of the gallery below. Seen counts sightings on every tiling where the census met the object, with the number of soups in brackets; rules in range gives the smallest rule (always B3/S23) and how many rules the ship runs in unchanged. Each id links to its card.

	id	tiling (also runs on)	p	d per period	cells	rules in range	seen (soups)	verdict
1	`77364004`	square (25 isohedral and drawn tilings with the square grid’s neighbour graph)	4	(−2, 0)	11–15	`B3/S23` (512)	45 (45)	known: the middleweight spaceship (MWSS); contains a phase of the LWSS
2	`5a080db3`	square (25 isohedral and drawn tilings with the square grid’s neighbour graph)	4	(−1, −1)	5	`B3/S23` (512)	95,041 (29,732)	known: Conway’s glider
3	`6dd55e69`	square (k3-010, 25 isohedral and drawn tilings with the square grid’s neighbour graph)	4	(−2, 0)	9–12	`B3/S23` (512)	135 (133)	known: the lightweight spaceship (LWSS)
4	`1376072e`	square (25 isohedral and drawn tilings with the square grid’s neighbour graph)	4	(−2, 0)	13–18	`B3/S23` (512)	11 (11)	known: the heavyweight spaceship (HWSS); contains a phase of the MWSS and the LWSS
5	`47fc3f43`	3.6.3.6 (k3-030, k3-032, k3-039)	4	(1, 0)	4–5	`B3/S23` (8,192)	245,860 (114,606)	known: Guttesen’s kagome glider g
6	`232055ff`	3.3.3.4.4 (k3-013, k3-019)	2	(−1, 0)	8–12	`B3/S23` (8,192)	13,595 (13,052)	known: EricG’s 3.3.3.4.4 ship
7	`c574f8e3`	3.3.4.3.4	8	(0, −2)	8–15	`B3/S23` (8,192)	118,271 (43,179)	known: Guttesen’s snub-square glider
8	`fabe952b`	k2-007	20	(1, 0)	6–20	`B3/S23` (8,192)	5,772 (5,537)	known: Büttner’s period-20 ship
9	`0e3664c5`	k2-003	13	(−2, 0)	12–44	`B3/S23` (2,048)	13 (13)	single
10	`d02b5ce8`	k2-012	3	(−1, 0)	10–14	`B3/S23` (32,768)	1 (1)	single
11	`ca75ccd6`	k3-002	3	(−1, 0)	14–16	`B3/S23` (1,024)	10 (10)	single; contains a phase of `f3d41f14`
12	`25c5dc4a`	k3-010	4	(−2, 0)	11–15	`B3/S23` (2,048)	2 (2)	single; contains a phase of the LWSS
13	`41eb5c62`	k3-010	38	(4, 0)	8–24	`B3/S23` (2,048)	23 (23)	single
14	`8488e7e9`	k3-011	4	(1, 0)	11–15	`B3/S23` (8,192)	8 (8)	single; contains a phase of `d997330c`
15	`d997330c`	k3-011	4	(−1, 0)	8–12	`B3/S23` (8,192)	9 (9)	single
16	`4f66f17e`	k3-011	4	(−1, 0)	11–18	`B3/S23` (8,192)	1 (1)	single; contains a phase of `8488e7e9` and `d997330c`
17	`f87a9ed1`	k3-011	9	(−1, 0)	9–16	`B3/S23` (8,192)	8 (8)	single
18	`b6a6a47a`	k3-040	8	(2, 0)	8–12	`B3/S23` (32,768)	13 (13)	single
19	`148310e3`	k3-041	4	(1, 0)	12–19	`B3/S23` (32,768)	150 (150)	single
20	`f6567467`	k3-044	8	(1, 0)	8–18	`B3/S23` (131,072)	5 (5)	single
21	`139723e0`	k3-055	20	(5, 0)	35–57	`B3/S23` (8,192)	185 (185)	single
22	`65acb120`	k3-055	32	(8, 0)	17–65	`B3/S23` (8,192)	21 (21)	single
23	`5f371c4c`	k3-055	32	(−8, 0)	28–66	`B3/S23` (8,192)	1 (1)	single
24	`5912456d`	k3-055	32	(−8, 0)	73–121	`B3/S23` (8,192)	1 (1)	single
25	`fbad7fbf`	k3-055	32	(8, 0)	53–105	`B3/S23` (8,192)	7 (7)	single
26	`ad91d936`	k3-055	32	(8, 0)	54–94	`B3/S23` (8,192)	1 (1)	single
27	`8130b388`	k3-055	32	(−8, 0)	52–96	`B3/S23` (8,192)	8 (8)	single
28	`b86bd684`	k3-055	32	(8, 0)	39–73	`B3/S23` (8,192)	3 (3)	single
29	`50ecb3d5`	k3-055	32	(8, 0)	38–104	`B3/S23` (8,192)	4 (4)	single
30	`d878334e`	k3-055	64	(16, 0)	63–148	`B3/S23` (8,192)	6 (6)	single
31	`92b7544a`	k3-055	64	(16, 0)	75–149	`B3/S23` (8,192)	5 (5)	single
32	`126db117`	k3-055	64	(16, 0)	28–84	`B3/S23` (8,192)	15 (15)	single
33	`1ccdebc8`	k3-055	64	(16, 0)	103–169	`B3/S23` (8,192)	4 (4)	single
34	`f2841d4c`	k3-057	12	(0, −1)	13–24	`B3/S23` (8,192)	57 (57)	single
35	`a5e9ba80`	3.3.4.3.4	24	(0, 6)	17–50	`B3/S23` (8,192)	3 (3)	flagged; contains a phase of Guttesen’s snub-square glider
36	`f89d8f11`	k2-003 (k3-010, k3-016)	16	(5, 0)	8–16	`B3/S23` (2,048)	1,295 (1,292)	flagged
37	`55db03c8`	k2-007	5	(0, −1)	16–22	`B3/S23` (8,192)	1 (1)	flagged
38	`c1d7a48e`	k2-011 (k3-002)	3	(1, 0)	9–11	`B3/S23` (8,192)	882 (878)	flagged
39	`16bc37c9`	k2-017 (k3-053)	4	(−1, 0)	6–9	`B3/S23` (8,192)	138,656 (77,024)	flagged
40	`020ec7b7`	k3-039	20	(−5, 0)	7–21	`B3/S23` (8,192)	22,100 (17,978)	flagged; contains a phase of glider g
41	`dab6fb01`	k3-040	24	(4, 0)	7–23	`B3/S23` (32,768)	3,661 (3,567)	flagged
42	`e1fcfa73`	k3-044	31	(−2, 0)	3–18	`B3/S23` (131,072)	88,492 (42,183)	flagged
43	`3792824d`	k3-045 (k3-046)	11	(−2, 0)	8–16	`B3/S23` (131,072)	11,435 (10,811)	flagged
44	`1e6832e3`	k3-057	8	(1, 0)	9–14	`B3/S23` (8,192)	6,553 (6,141)	flagged
45	`93a72ebd`	k3-059	30	(1, 1)	7–23	`B3/S23` (524,288)	81,611 (41,207)	flagged
46	`58e6d5fc`	k3-061	22	(1, 1)	5–10	`B3/S23` (524,288)	34,039 (25,346)	flagged

Gallery of the Life objects

Each clip is a window that the ship crosses, in Life, on the tiling it is listed on, with the tile outlines drawn; with reduced motion it is replaced by a still of a few of its positions. The scenes are in docs/scenes/life-census/, one per object, and docs/tools/render-animations.sh life-census/ makes the clips again.

Known objects (8)

Conway’s glider and spaceships, which run on the square grid and on every isohedral tiling with its neighbour graph; Guttesen’s two gliders; the ship that is probably EricG’s on 3.3.3.4.4; and the ship that is very likely Büttner’s on k2-007.

Life spaceship 77364004 moving across the square grid

77364004 table row 1

Tiling: square (shown); also, unchanged, 25 isohedral and drawn tilings with the square grid's neighbour graph
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 11–15
Rules: B3/S23 to B3468/S238 (512 rules)
Seen: 45 times, in 45 soups
Verdict: Known: the middleweight spaceship (MWSS) (found by John Conway in 1970). Contains a perturbed phase of the LWSS.

Clip: generations 1 to 41.

Life spaceship 5a080db3 moving across the square grid

5a080db3 table row 2

Tiling: square (shown); also, unchanged, 25 isohedral and drawn tilings with the square grid's neighbour graph
Period: 4, moving (−1, −1) per period
Cells: 5
Rules: B3/S23 to B3678/S0235678 (512 rules)
Seen: 95,041 times, in 29,732 soups
Verdict: Known: Conway's glider (found by Richard Guy in 1970).

Clip: generations 0 to 40.

Life spaceship 6dd55e69 moving across the square grid

6dd55e69 table row 3

Tiling: square (shown); also, unchanged, k3-010 and 25 isohedral and drawn tilings with the square grid's neighbour graph
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 9–12
Rules: B3/S23 to B3468/S2378 (512 rules)
Seen: 128 times, in 126 soups on square; 7 times, in 7 soups on k3-010
Verdict: Known: the lightweight spaceship (LWSS) (found by John Conway in 1970).

Clip: generations 1 to 41.

Life spaceship 1376072e moving across the square grid

1376072e table row 4

Tiling: square (shown); also, unchanged, 25 isohedral and drawn tilings with the square grid's neighbour graph
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 13–18
Rules: B3/S23 to B3468/S23 (512 rules)
Seen: 11 times, in 11 soups
Verdict: Known: the heavyweight spaceship (HWSS) (found by John Conway in 1970). Contains a perturbed phase of the MWSS and the LWSS.

Clip: generations 1 to 41.

Life spaceship 47fc3f43 moving across the trihexagonal (kagome) tiling 3.6.3.6

47fc3f43 table row 5

Tiling: 3.6.3.6 (shown); also, unchanged, k3-030, k3-032 and k3-039
Period: 4, moving one lattice step per period (c/4)
Cells: 4–5
Rules: B3/S23 to B3,5,6,7,8,9,10,11,12/S1,2,3,5,6,7,8,9,10,11,12 (8,192 rules)
Seen: 149,642 times, in 43,743 soups on 3.6.3.6; 35,634 times, in 25,780 soups on k3-030; 35,417 times, in 25,058 soups on k3-032; 25,167 times, in 20,025 soups on k3-039
Verdict: Known: Guttesen's kagome glider g (Guttesen 2026).

Clip: generations 0 to 60.

Life spaceship 232055ff moving across the elongated triangular tiling 3.3.3.4.4

232055ff table row 6

Tiling: 3.3.3.4.4 (shown); also, unchanged, k3-013 and k3-019
Period: 2, moving one lattice step per period (c/2)
Cells: 8–12
Rules: B3/S23 to B3,5,7,9,10,11,12/S1,2,3,6,7,8,9,10,11,12 (8,192 rules)
Seen: 4,604 times, in 4,416 soups on 3.3.3.4.4; 4,247 times, in 4,066 soups on k3-013; 4,744 times, in 4,570 soups on k3-019
Verdict: Known: probably EricG's 3.3.3.4.4 ship (EricG 2013).

Clip: generations 0 to 40.

Life spaceship c574f8e3 moving across the snub square tiling 3.3.4.3.4

c574f8e3 table row 7

Tiling: 3.3.4.3.4
Period: 8, moving 2 lattice steps per period (c/4)
Cells: 8–15
Rules: B3/S23 to B3,6,8,10,11,12/S2,3,9,10,11,12 (8,192 rules)
Seen: 118,271 times, in 43,179 soups
Verdict: Known: Guttesen's snub-square glider (Guttesen 2026).

Clip: generations 0 to 56.

Life spaceship fabe952b moving across the 2-uniform tiling k2-007

fabe952b table row 8

Tiling: k2-007
Period: 20, moving one lattice step per period (c/20)
Cells: 6–20
Rules: B3/S23 to B3,8,10,11,12/S2,3,8,9,10,11,12 (8,192 rules)
Seen: 5,772 times, in 5,537 soups
Verdict: Known: very likely Büttner's period-20 ship (Martin Büttner, Code Golf 2014).

Clip: generations 9 to 169, every 3rd.

Single ships with no flag (26)

Single ships that carry no flag. To our knowledge, none of them has been reported before.

Life spaceship 0e3664c5 moving across the 2-uniform tiling k2-003

0e3664c5 table row 9

Tiling: k2-003
Period: 13, moving 2 lattice steps per period (2c/13)
Cells: 12–44
Rules: B3/S23 to B3,8,9,10/S2,3,9,10 (2,048 rules)
Seen: 13 times, in 13 soups
Verdict: Single ship, no flag.

Clip: generations 6 to 149, every 3rd.

Life spaceship d02b5ce8 moving across the 2-uniform tiling k2-012

d02b5ce8 table row 10

Tiling: k2-012
Period: 3, moving one lattice step per period (c/3)
Cells: 10–14
Rules: B3/S23 to B3,7,9,10,11,12,13,14/S0,2,3,6,7,8,9,10,11,12,13,14 (32,768 rules)
Seen: 1 time, in 1 soup
Verdict: Single ship, no flag.

Clip: generations 2 to 44.

Life spaceship ca75ccd6 moving across the 3-uniform tiling k3-002

ca75ccd6 table row 11

Tiling: k3-002
Period: 3, moving one lattice step per period (c/3)
Cells: 14–16
Rules: B3/S23 to B3789/S23789 (1,024 rules)
Seen: 10 times, in 10 soups
Verdict: Single ship, no flag. Contains a perturbed phase of f3d41f14.

Clip: generations 1 to 43.

Life spaceship 25c5dc4a moving across the 3-uniform tiling k3-010

25c5dc4a table row 12

Tiling: k3-010
Period: 4, moving 2 lattice steps per period (c/2)
Cells: 11–15
Rules: B3/S23 to B3,4,6,8,9,10/S2,3,8,9,10 (2,048 rules)
Seen: 2 times, in 2 soups
Verdict: Single ship, no flag. Contains a perturbed phase of the LWSS.

Clip: generations 1 to 41.

Life spaceship 41eb5c62 moving across the 3-uniform tiling k3-010

41eb5c62 table row 13

Tiling: k3-010
Period: 38, moving 4 lattice steps per period (2c/19)
Cells: 8–24
Rules: B3/S23 to B3,8,9,10/S2,3,8,9,10 (2,048 rules)
Seen: 23 times, in 23 soups
Verdict: Single ship, no flag.

Clip: generations 6 to 158, every 3rd.

Life spaceship 8488e7e9 moving across the 3-uniform tiling k3-011

8488e7e9 table row 14

Tiling: k3-011
Period: 4, moving one lattice step per period (c/4)
Cells: 11–15
Rules: B3/S23 to B3,4,6,8,9,10,11,12/S2,3,8,9,10,11,12 (8,192 rules)
Seen: 8 times, in 8 soups
Verdict: Single ship, no flag. Contains a perturbed phase of d997330c.

Clip: generations 1 to 41.

Life spaceship d997330c moving across the 3-uniform tiling k3-011

d997330c table row 15

Tiling: k3-011
Period: 4, moving one lattice step per period (c/4)
Cells: 8–12
Rules: B3/S23 to B3,6,8,9,10,11,12/S0,2,3,7,8,9,10,11,12 (8,192 rules)
Seen: 9 times, in 9 soups
Verdict: Single ship, no flag.

Clip: generations 0 to 40.

Life spaceship 4f66f17e moving across the 3-uniform tiling k3-011

4f66f17e table row 16

Tiling: k3-011
Period: 4, moving one lattice step per period (c/4)
Cells: 11–18
Rules: B3/S23 to B3,6,8,9,10,11,12/S2,3,9,10,11,12 (8,192 rules)
Seen: 1 time, in 1 soup
Verdict: Single ship, no flag. Contains a perturbed phase of 8488e7e9 and d997330c.

Clip: generations 0 to 40.

Life spaceship f87a9ed1 moving across the 3-uniform tiling k3-011

f87a9ed1 table row 17

Tiling: k3-011
Period: 9, moving one lattice step per period (c/9)
Cells: 9–16
Rules: B3/S23 to B3,9,10,11,12/S2,3,8,9,10,11,12 (8,192 rules)
Seen: 8 times, in 8 soups
Verdict: Single ship, no flag.

Clip: generations 2 to 65.

Life spaceship b6a6a47a moving across the 3-uniform tiling k3-040

b6a6a47a table row 18

Tiling: k3-040
Period: 8, moving 2 lattice steps per period (c/4)
Cells: 8–12
Rules: B3/S23 to B3,8,9,10,11,12,13,14/S2,3,6,7,8,9,10,11,12,13,14 (32,768 rules)
Seen: 13 times, in 13 soups
Verdict: Single ship, no flag.

Clip: generations 1 to 41.

Life spaceship 148310e3 moving across the 3-uniform tiling k3-041

148310e3 table row 19

Tiling: k3-041
Period: 4, moving one lattice step per period (c/4)
Cells: 12–19
Rules: B3/S23 to B3,8,9,10,11,12,13,14/S2,3,8,9,10,11,12,13,14 (32,768 rules)
Seen: 150 times, in 150 soups
Verdict: Single ship, no flag.

Clip: generations 2 to 42.

Life spaceship f6567467 moving across the 3-uniform tiling k3-044

f6567467 table row 20

Tiling: k3-044
Period: 8, moving one lattice step per period (c/8)
Cells: 8–18
Rules: B3/S23 to B3,9,10,11,12,13,14,15,16/S2,3,6,7,8,9,10,11,12,13,14,15,16 (131,072 rules)
Seen: 5 times, in 5 soups
Verdict: Single ship, no flag.

Clip: generations 2 to 58.

Life spaceship 139723e0 moving across the 3-uniform tiling k3-055

139723e0 table row 21

Tiling: k3-055
Period: 20, moving 5 lattice steps per period (c/4)
Cells: 35–57
Rules: B3/S23 to B3,10,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 185 times, in 185 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 17 to 57.

Life spaceship 65acb120 moving across the 3-uniform tiling k3-055

65acb120 table row 22

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 17–65
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 21 times, in 21 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 19 to 51.

Life spaceship 5f371c4c moving across the 3-uniform tiling k3-055

5f371c4c table row 23

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 28–66
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 1 time, in 1 soup
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 19 to 51.

Life spaceship 5912456d moving across the 3-uniform tiling k3-055

5912456d table row 24

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 73–121
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 1 time, in 1 soup
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 16 to 48.

Life spaceship fbad7fbf moving across the 3-uniform tiling k3-055

fbad7fbf table row 25

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 53–105
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 7 times, in 7 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 23 to 55.

Life spaceship ad91d936 moving across the 3-uniform tiling k3-055

ad91d936 table row 26

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 54–94
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 1 time, in 1 soup
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 19 to 51.

Life spaceship 8130b388 moving across the 3-uniform tiling k3-055

8130b388 table row 27

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 52–96
Rules: B3/S23 to B3,11,12/S2,3,9,10,11,12 (8,192 rules)
Seen: 8 times, in 8 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 1 to 33.

Life spaceship b86bd684 moving across the 3-uniform tiling k3-055

b86bd684 table row 28

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 39–73
Rules: B3/S23 to B3,12/S2,3,10,11,12 (8,192 rules)
Seen: 3 times, in 3 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 19 to 51.

Life spaceship 50ecb3d5 moving across the 3-uniform tiling k3-055

50ecb3d5 table row 29

Tiling: k3-055
Period: 32, moving 8 lattice steps per period (c/4)
Cells: 38–104
Rules: B3/S23 to B3,11,12/S2,3,9,10,11,12 (8,192 rules)
Seen: 4 times, in 4 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 22 to 54.

Life spaceship d878334e moving across the 3-uniform tiling k3-055

d878334e table row 30

Tiling: k3-055
Period: 64, moving 16 lattice steps per period (c/4)
Cells: 63–148
Rules: B3/S23 to B3,11,12/S2,3,11,12 (8,192 rules)
Seen: 6 times, in 6 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 55 to 119, every 2nd.

Life spaceship 92b7544a moving across the 3-uniform tiling k3-055

92b7544a table row 31

Tiling: k3-055
Period: 64, moving 16 lattice steps per period (c/4)
Cells: 75–149
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 5 times, in 5 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 29 to 93, every 2nd.

Life spaceship 126db117 moving across the 3-uniform tiling k3-055

126db117 table row 32

Tiling: k3-055
Period: 64, moving 16 lattice steps per period (c/4)
Cells: 28–84
Rules: B3/S23 to B3,11,12/S2,3,11,12 (8,192 rules)
Seen: 15 times, in 15 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 23 to 87, every 2nd.

Life spaceship 1ccdebc8 moving across the 3-uniform tiling k3-055

1ccdebc8 table row 33

Tiling: k3-055
Period: 64, moving 16 lattice steps per period (c/4)
Cells: 103–169
Rules: B3/S23 to B3,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 4 times, in 4 soups
Verdict: Single ship, no flag. One of the large k3-055 ships that may share a common engine (see above).

Clip: generations 12 to 76, every 2nd.

Life spaceship f2841d4c moving across the 3-uniform tiling k3-057

f2841d4c table row 34

Tiling: k3-057
Period: 12, moving one lattice step per period (c/12)
Cells: 13–24
Rules: B3/S23 to B3,9,10,11,12/S2,3,9,10,11,12 (8,192 rules)
Seen: 57 times, in 57 soups
Verdict: Single ship, no flag.

Clip: generations 6 to 54.

Flagged single ships (12)

Single ships that passed every check but are common on their tiling, or lie on a tiling where others have run Life. We found no earlier report of any of them.

Life spaceship a5e9ba80 moving across the snub square tiling 3.3.4.3.4

a5e9ba80 table row 35

Tiling: 3.3.4.3.4
Period: 24, moving 6 lattice steps per period (c/4)
Cells: 17–50
Rules: B3/S23 to B3,8,10,11,12/S2,3,10,11,12 (8,192 rules)
Seen: 3 times, in 3 soups
Verdict: Flagged: EricG 2013 and Guttesen 2026 ran Life on 3.3.4.3.4. Contains a perturbed phase of Guttesen's snub-square glider.

Clip: generations 15 to 55.

Life spaceship f89d8f11 moving across the 2-uniform tiling k2-003

f89d8f11 table row 36

Tiling: k2-003 (shown); also, unchanged, k3-010 and k3-016
Period: 16, moving 5 lattice steps per period (5c/16)
Cells: 8–16
Rules: B3/S23 to B3,7,8,9,10/S2,3,7,8,9,10 (2,048 rules)
Seen: 564 times, in 563 soups on k2-003; 352 times, in 352 soups on k3-010; 379 times, in 377 soups on k3-016
Verdict: Flagged: common: in 1.1% of the census soups on k2-003.

Clip: generations 0 to 48.

Life spaceship 55db03c8 moving across the 2-uniform tiling k2-007

55db03c8 table row 37

Tiling: k2-007
Period: 5, moving one lattice step per period (c/5)
Cells: 16–22
Rules: B3/S23 to B3,8,9,10,11,12/S2,3,6,7,8,9,10,11,12 (8,192 rules)
Seen: 1 time, in 1 soup
Verdict: Flagged: Büttner and Kevin L (Code Golf 2014) very likely ran Life on k2-007.

Clip: generations 3 to 43.

Life spaceship c1d7a48e moving across the 2-uniform tiling k2-011

c1d7a48e table row 38

Tiling: k2-011 (shown); also, unchanged, k3-002
Period: 3, moving one lattice step per period (c/3)
Cells: 9–11
Rules: B3/S23 to B3,6,7,8,9,10,11,12/S2,3,5,6,7,8,9,10,11,12 (8,192 rules)
Seen: 332 times, in 329 soups on k2-011; 550 times, in 549 soups on k3-002
Verdict: Flagged: common: in 1.1% of the census soups on k3-002 (where it runs in a corridor; 0.66% on k2-011).

Clip: generations 0 to 42.

Life spaceship 16bc37c9 moving across the 2-uniform tiling k2-017

16bc37c9 table row 39

Tiling: k2-017 (shown); also, unchanged, k3-053
Period: 4, moving one lattice step per period (c/4)
Cells: 6–9
Rules: B3/S23 to B3,5,6,8,9,10,11,12/S1,2,3,7,9,10,11,12 (8,192 rules)
Seen: 67,742 times, in 38,158 soups on k2-017; 70,914 times, in 38,866 soups on k3-053
Verdict: Flagged: common: in 76.3% of the census soups on k2-017.

Clip: generations 1 to 41.

Life spaceship 020ec7b7 moving across the 3-uniform tiling k3-039

020ec7b7 table row 40

Tiling: k3-039
Period: 20, moving 5 lattice steps per period (c/4)
Cells: 7–21
Rules: B3/S23 to B3,7,9,10,11,12/S2,3,6,7,8,9,10,11,12 (8,192 rules)
Seen: 22,100 times, in 17,978 soups
Verdict: Flagged: common: in 36.0% of the census soups on k3-039. Contains a perturbed phase of glider g.

Clip: generations 18 to 58.

Life spaceship dab6fb01 moving across the 3-uniform tiling k3-040

dab6fb01 table row 41

Tiling: k3-040
Period: 24, moving 4 lattice steps per period (c/6)
Cells: 7–23
Rules: B3/S23 to B3,8,9,10,11,12,13,14/S2,3,8,9,10,11,12,13,14 (32,768 rules)
Seen: 3,661 times, in 3,567 soups
Verdict: Flagged: common: in 7.1% of the census soups on k3-040.

Clip: generations 0 to 48.

Life spaceship e1fcfa73 moving across the 3-uniform tiling k3-044

e1fcfa73 table row 42

Tiling: k3-044
Period: 31, moving 2 lattice steps per period (2c/31)
Cells: 3–18
Rules: B3/S23 to B3,9,10,11,12,13,14,15,16/S2,3,9,10,11,12,13,14,15,16 (131,072 rules)
Seen: 88,492 times, in 42,183 soups
Verdict: Flagged: common: in 84.4% of the census soups on k3-044.

Clip: generations 29 to 122, every 2nd.

Life spaceship 3792824d moving across the 3-uniform tiling k3-045

3792824d table row 43

Tiling: k3-045 (shown); also, unchanged, k3-046
Period: 11, moving 2 lattice steps per period (2c/11)
Cells: 8–16
Rules: B3/S23 to B3,9,10,11,12,13,14,15,16/S2,3,9,10,11,12,13,14,15,16 (131,072 rules)
Seen: 7,642 times, in 7,138 soups on k3-045; 3,793 times, in 3,673 soups on k3-046
Verdict: Flagged: common: in 14.3% of the census soups on k3-045.

Clip: generations 1 to 45.

Life spaceship 1e6832e3 moving across the 3-uniform tiling k3-057

1e6832e3 table row 44

Tiling: k3-057
Period: 8, moving one lattice step per period (c/8)
Cells: 9–14
Rules: B3/S23 to B3,7,10,11,12/S2,3,7,8,9,10,11,12 (8,192 rules)
Seen: 6,553 times, in 6,141 soups
Verdict: Flagged: common: in 12.3% of the census soups on k3-057.

Clip: generations 2 to 42.

Life spaceship 93a72ebd moving across the 3-uniform tiling k3-059

93a72ebd table row 45

Tiling: k3-059
Period: 30, moving (1, 1) per period
Cells: 7–23
Rules: B3/S23 to B3,8,9,10,11,12,13,14,15,16,17,18/S2,3,9,10,11,12,13,14,15,16,17,18 (524,288 rules)
Seen: 81,611 times, in 41,207 soups
Verdict: Flagged: common: in 82.4% of the census soups on k3-059.

Clip: generations 12 to 72.

Life spaceship 58e6d5fc moving across the 3-uniform tiling k3-061

58e6d5fc table row 46

Tiling: k3-061
Period: 22, moving (1, 1) per period
Cells: 5–10
Rules: B3/S23 to B3,7,8,9,10,11,12,13,14,15,16,17,18/S2,3,7,8,9,10,11,12,13,14,15,16,17,18 (524,288 rules)
Seen: 34,039 times, in 25,346 soups
Verdict: Flagged: common: in 50.7% of the census soups on k3-061.

Clip: generations 5 to 68.

Credits for Life on these tilings

Conway’s glider and the light-, middle- and heavyweight spaceships are the classic ships of Life (Gardner 1970; Berlekamp, Conway and Guy 1982). EricG ran Life-like rules on the eight mixed Archimedean tilings in 2013 and reported Life spaceships on 3.6.3.6, 3.3.4.3.4 and 3.3.3.4.4 (EricG 2013). Martin Büttner found a period-20 Life ship on a tiling of hexagons, squares and triangles in 2014 (Code Golf 2014). H. S. Guttesen described the kagome glider g and the snub-square glider, first in Code Golf answers in 2024 (Guttesen 2024; Guttesen 2026), and a YouTube channel showed Life gliders on the snub square tiling in May 2024 (Tessellation Automata 2024). The 2- and 3-uniform tilings are Galebach’s catalogue (Galebach: uniform tilings).

The hat glider is Edmond’s glider B

The hat glider that JETCARP’s reimplementation of James Edmond’s evolutionary search found is Edmond’s hat glider B (Edmond 2026) written in another table. Rename B’s states (1 as 3, 2 as 1, 3 as 2) and the two tables agree on every configuration the glider meets after its first generation; run side by side, they give the same states every generation, for 180 generations on a level-5 patch and 1,467 generations on a level-7 patch. The glider has one head and four to six wing tiles, its eight shapes are all among B’s ten, and it moves one ring of tiles every two generations. JETCARP’s table has one extra row and its seed launches the glider on a different lane, which is why it first looked different. The glider is Edmond’s. What JETCARP adds is a long run: on a sliding window that follows the glider, it travelled 1,000,000 rings of tiles at a steady 2.14 units per generation (Edmond’s certified minimum speed is 2.1397), and Edmond’s own certificates prove it immortal. See Priority rules.

Still to do

Ask on the ConwayLife.com forums whether any of the candidates, above all the flagged ones, have been seen before. Our prior-art search could not read the forums directly.
Compare the census’s 3.3.3.4.4 ship with EricG’s 2013 patterns, and its period-20 k2-007 ship with Büttner’s 2014 ship, cell for cell, if those patterns can be found.
Look more closely at the large Life ships of k3-055, which may share a common engine.
Run the Life census on more soups, on the k-uniform tilings with k from 4 to 6, and with ships of periods above 64, which the census did not look for.
Compare the kagome and snub-square ships with Guttesen’s configurations cell for cell, once they are published.
Extend the equivalence survey to the k-uniform tilings with k from 4 to 6, and the ship comparison to aperiodic tilings. Neither can turn a claimed ship into a lattice ship, but either could add “also runs on” entries.
Re-run the key searches just before publication, since several closely related works appeared in August to October 2026.

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